41.64 is what percent of 53.99 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 53.99 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 53.99, so we can write it down as 100%=53.99.
4. We know, that x% equals 41.64 of the output value, so we can write it down as x%=41.64.
5. Now we have two simple equations:
1) 100%=53.99
2) x%=41.64
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=53.99/41.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.64 is what percent of 53.99

100%/x%=53.99/41.64
(100/x)*x=(53.99/41.64)*x       - we multiply both sides of the equation by x
100=1.2965898174832*x       - we divide both sides of the equation by (1.2965898174832) to get x
100/1.2965898174832=x
77.125393591406=x
x=77.125393591406

now we have:
41.64 is 77.125393591406% of 53.99